\begin{tikzpicture}
    \pgfmathsetmacro{\R}{1.5}
    \pgfmathsetmacro{\n}{5}

    \tkzDefPoints{0/0/O}
    \tkzDefPoint(234:\R){A} % 90 + 360/5*2
    \tkzDefRegPolygon[center,sides=\n,name=P](O,A)
    \foreach \P [count=\i from 2] in {B,...,E} {
        \coordinate (\P) at (P\i);
    }
    \tkzInterLL(A,C)(B,E)  \tkzGetPoint{M}

    \tkzDrawPolygon[thick](A,...,E)
    \tkzDrawPolygon[thick](A,C,E,B,D)
    \tkzLabelPoints[below=.2em](M)
    \tkzAutoLabelPoints[center=O, centered, dist= .25](A,B,...,E)
\end{tikzpicture}

